Fast complete locally convex linear topological spaces

Abstract

This is a study of relationship between the concepts of Mackey, ultrabornological, bornological, barrelled, and infrabarrelled spaces and the concept of fast completeness. An example of a fast complete but not sequentially complete space is presented.

Keywords

• locally convex space
• fast complete space
• bornological space
• barrelled space
• Mackey space
• Baire space.